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Finding the Fourth Proportional to 1,985.97, 2,740.56 and 1,089.69

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Solution

The fourth proportional to 1,985.97, 2,740.56 and 1,089.69 is: 1,503.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.97 : 2,740.56 = 1,089.69 : x
  2. Step 2: Convert to fraction form
    1,985.97/2,740.56 = 1,089.69/x
  3. Step 3: Cross multiply
    1,985.97x = 2,740.56 × 1,089.69
  4. Step 4: Simplify right side
    1,985.97x = 2,986,360.83
  5. Step 5: Solve for x
    x = 2,986,360.83/1,985.97
  6. Step 6: Final answer
    x = 1,503.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.